This talk will focus on the latest developments in financial derivatives technology and exemplify several solution methodologies, such as binary trees, partial differential equations, finite differences, and Monte-Carlo sampling for the pricing and risk management of derivatives portfolios. The talk will include a demo of real-time retrieval of stock and options prices with J/Link, instant calculation of risk sensitivities, and immediate tabular and graphical 2d and 3d output in the Mathematica front end. Real-time data will be displayed in a complete options trading screen, rate curves, and technical analysis graphs.